Find a matrix for each of the given linear transformations on ℝ2.(a) Reflection in the y-a...

Find a matrix for each of the given linear transformations on ℝ2.

(a) Reflection in the y-axis

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(b) Rotation by 90° counterclockwise about the origin

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(c) Projection onto the line ax + by =0

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(d) Scaling by 3 in the x-direction and in the y direction

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(e) Reflection in the x-axis followed by a scaling by a factor of

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(f) Reflection in the line 4x + 5y = 0 followed by rotation by 90° counterclockwise about the origin